Brandon Schneider
38ddec024d
Add RRC projection receipts and roadmap mirrors
2026-05-08 14:50:03 -05:00
Brandon Schneider
eff316ff3f
wip: refined investigation script for Erdős–Gyárfás conjecture
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Created refined investigation script for Erdős–Gyárfás conjecture
where previous test found no power-of-two cycles (conjecture holds: False).
Refinements:
- Regular graph construction (all vertices same degree)
- Exhaustive DFS cycle detection
- More samples per n (5 instead of 3)
- Extended n values [8, 10, 12, 14, 16]
Goal: Determine if previous negative result was due to random graph construction
or if regular graphs with exhaustive cycle detection find power-of-two cycles.
Script created: investigate_erdos_gyarfas_refined.py
Execution canceled by user - awaiting further instructions.
2026-05-08 14:50:03 -05:00
Brandon Schneider
8b9359394f
formalize: 4-primitive framework for Erdős–Rényi random graphs in Lean
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Formalized the 4-primitive framework applied to Erdős–Rényi random graphs
G(n,p) in Lean.
Lean file: 0-Core-Formalism/lean/Semantics/ExtensionScaffold/Math/FourPrimitiveErdosRenyi.lean
Formalization includes:
- Field primitive (ρ(x⃗)): edge density field
- Shear primitive (G = AᵀA): Laplacian deformation metric
- Packet primitive (Γᵢ): adjacency matrix encoding
- Spectral primitive (C = UΛUᵀ): eigenbasis decomposition
Definitions:
- FieldPrimitive: edge density
- ShearPrimitive: Gram matrix AᵀA
- PacketPrimitive: adjacency matrix
- SpectralPrimitive: eigen decomposition
- spectralRadius, spectralGap, algebraicConnectivity
- Laplacian matrix
- connectivityThreshold, giantComponentThreshold
- detectPhaseTransition
Theorems (schematic):
- FourPrimitiveFramework_Validation
- SpectralPrimitive_PhaseTransition
- FieldPrimitive_Density
- ShearPrimitive_Deformation
- PacketPrimitive_Encoding
Canonical statement included: The compactified core reduces the stack to
four mutually orthogonal primitives: field state, shear metric, packet
witness, and spectral basis.
2026-05-08 14:50:02 -05:00
Brandon Schneider
0cf775c80e
collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution
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- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation
- FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup)
- Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN
- Spec sheet puller: 10 components with key params and topological relevance
- Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput
- Fixed merge conflicts in AI-Newton test_experiment.ipynb
2026-05-06 23:42:01 -05:00
Brandon Schneider
6d82e0e764
Prove fixed-point algebra lemmas
2026-05-05 21:44:15 -05:00
Brandon Schneider
d14d8e94c4
Address fixed-point review findings
2026-05-05 21:26:18 -05:00
Brandon Schneider
0709b298b3
Consolidate research stack updates
2026-05-05 21:09:48 -05:00
Brandon Schneider
920f02a024
Add ENE research topic candidates, compression-core, notion-native-tauri, linear-native-tauri
2026-05-04 19:08:20 -05:00
Brandon Schneider
5f88abf618
initial: sovereign research stack (consolidated, weightless, and lfs-optimized)
2026-05-04 18:11:36 -05:00
